Although there are a large number of papers on secure routing in mobile ad-hoc networks, only a few consider the anonymity issue. We define more strict requirements on the anonymity and security properties of the routing protocol, and notice that previous research works only provide weak location privacy and route anonymity, and are vulnerable to specific attacks. Therefore, we propose the anonymous secure routing (ASR) protocol that can provide additional properties on anonymity, i.e. identity anonymity and strong location privacy, and at the same time ensure the security of discovered routes against various passive and active attacks. Detailed analysis shows that ASR can achieve both anonymity and security properties, as defined in the requirements, of the routing protocol in mobile ad-hoc networks.